ScalingStacks

Definition 5.3. Let $W$ be a smooth oriented 4-manifold and $L\subset\partial W$ a link. A lasagna filling $F$ of $W$ with boundary $L$ consists of the following data

• •

  a finite collection of ‘small’ 4-balls $B_{i}$ embedded in the interior of $W$;

• •

  a framed oriented surface $\Sigma$ properly embedded in $X\setminus\sqcup_{i}B_{i}$, meeting $\partial W$ in $L$ and meeting each $\partial B_{i}$ in a link $L_{i}$; and

• •

  for each $i$, a homogeneous label $v_{i}\in\mathrm{KhR}_{N}(\partial B_{i},L_{i})$.